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Finding the Fourth Proportional to 248,624.46, 343,476.72 and 200,794.77

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Solution

The fourth proportional to 248,624.46, 343,476.72 and 200,794.77 is: 277,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,624.46 : 343,476.72 = 200,794.77 : x
  2. Step 2: Convert to fraction form
    248,624.46/343,476.72 = 200,794.77/x
  3. Step 3: Cross multiply
    248,624.46x = 343,476.72 × 200,794.77
  4. Step 4: Simplify right side
    248,624.46x = 68,968,328,992.75
  5. Step 5: Solve for x
    x = 68,968,328,992.75/248,624.46
  6. Step 6: Final answer
    x = 277,399.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.